Analyzing Student Admission Doubling

The question asks to identify the year in which the number of students admitted to a specific academic program *doubled* compared to the previous year. We need to examine the provided year-wise student admission data for each program.

Year-wise Program Admission Comparison

We will compare the student numbers for each program year over year to find instances where the count is exactly twice the previous year's count.

Checking Year 2022 vs 2021

No program showed a doubling of students from 2021 to 2022.

• B.A.: 225 (2022) vs 150 (2021)
• B.Sc.: 40 (2022) vs 25 (2021)
• B.B.A.: 45 (2022) vs 50 (2021)
• B.Com.: 62 (2022) vs 45 (2021)
• B.C.A.: 70 (2022) vs 75 (2021)

Checking Year 2023 vs 2022

In the B.A. program, the number of students doubled.

• B.A.: 450 (2023) vs 225 (2022). This is a doubling, as $450 = 2 \times 225$.
• B.Sc.: 65 (2023) vs 40 (2022)
• B.B.A.: 30 (2023) vs 45 (2022)
• B.Com.: 90 (2023) vs 62 (2022)
• B.C.A.: 73 (2023) vs 70 (2022)

Since we found a program where the number of students doubled compared to the previous year, the year is 2023.

Checking Year 2024 vs 2023

No program showed a doubling of students from 2023 to 2024.

• B.A.: 470 (2024) vs 450 (2023)
• B.Sc.: 73 (2024) vs 65 (2023)
• B.B.A.: 35 (2024) vs 30 (2023)
• B.Com.: 105 (2024) vs 90 (2023)
• B.C.A.: 70 (2024) vs 73 (2023)

Checking Year 2025 vs 2024

No program showed a doubling of students from 2024 to 2025.

• B.A.: 500 (2025) vs 470 (2024)
• B.Sc.: 80 (2025) vs 73 (2024)
• B.B.A.: 36 (2025) vs 35 (2024)
• B.Com.: 132 (2025) vs 105 (2024)
• B.C.A.: 74 (2025) vs 70 (2024)

Conclusion

The number of students in the B.A. program doubled from 225 in 2022 to 450 in 2023. Therefore, the year in which student numbers doubled for a particular program compared to the previous year is 2023.